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Finding the Fourth Proportional to 10,762.84, 16,141.74 and 4,186.36

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Solution

The fourth proportional to 10,762.84, 16,141.74 and 4,186.36 is: 6,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.84 : 16,141.74 = 4,186.36 : x
  2. Step 2: Convert to fraction form
    10,762.84/16,141.74 = 4,186.36/x
  3. Step 3: Cross multiply
    10,762.84x = 16,141.74 × 4,186.36
  4. Step 4: Simplify right side
    10,762.84x = 67,575,134.67
  5. Step 5: Solve for x
    x = 67,575,134.67/10,762.84
  6. Step 6: Final answer
    x = 6,278.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.